The Ontological Necessity of Coherence_ Why Lawful Resonance Cannot Be Representational

CODES Framework Abstract This paper extends Structured Resonance Dynamics (SRD) from deterministic coherence law to ontological foundation. It argues that if coherence is universal and bounded-drift (ε_drift ≤ V⁻¹⁄²) is empirically confirmed, then coherence is not a property of matter but the structure of matter itself. The harmonic law PAS_h ≥ θ_L ∧ ΔPAS_ζ ≤ ε_drift and its differential counterpart dC/dt = Γ Cⁿ − λ C + η (∇S·∇Ω) are reinterpreted as dual expressions of a single persistence invariant: existence = lawful phase alignment. Non-zero chirality (Δχ ≠ 0) and prime-indexed resonance prevent degeneracy, ensuring irreversible persistence. Thus, the framework identifies coherence as ontologically primary—everything that exists does so by maintaining lawful phase alignment within bounded drift. This transition from model to ontology closes the CODES framework, linking physics, biology, and intelligence to one substrate of being. The result formalizes a deterministic replacement for probability-based ontology and establishes Structured Resonance as the lawful geometry of existence.